Localization and Gluing of Orbifold Amplitudes: The Gromov-Witten Orbifold Vertex

Abstract

We define a formalism for computing open orbifold GW invariants of [C^3/G] where G is any finite abelian group. We prove that this formalism and a suitable gluing algorithm can be used to compute GW invariants in all genera of any toric CY orbifold of dimension 3. We conjecture a correspondence with the DT orbifold vertex of Bryan-Cadman-Young.

39 pages, minor revisions, to appear in Transactions of the American Mathematical Society

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• Smooth toric DM stacks
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Cited by in corpus (2)

• Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
• A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten Invariants of the Local $\cB\bZ_m$ Gerbe